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Finding the Fourth Proportional to 423,107.46, 634,964.22 and 180,118.89

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Solution

The fourth proportional to 423,107.46, 634,964.22 and 180,118.89 is: 270,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,107.46 : 634,964.22 = 180,118.89 : x
  2. Step 2: Convert to fraction form
    423,107.46/634,964.22 = 180,118.89/x
  3. Step 3: Cross multiply
    423,107.46x = 634,964.22 × 180,118.89
  4. Step 4: Simplify right side
    423,107.46x = 114,369,051,182.93
  5. Step 5: Solve for x
    x = 114,369,051,182.93/423,107.46
  6. Step 6: Final answer
    x = 270,307.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.